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On hereditarily countable sets
Journal of Symbolic Logic 47 (1):43-47 (1982)
Abstract
It is shown (in ZF) that every hereditarily countable set has rank less than ω 2 , and that if ℵ 1 is singular then there are hereditarily countable sets of all ranks less than ω 2Links
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Citations of this work
On the regular extension axiom and its variants.Robert S. Lubarsky & Michael Rathjen - 2003 - Mathematical Logic Quarterly 49 (5):511.
On hereditarily small sets in ZF.M. Randall Holmes - 2014 - Mathematical Logic Quarterly 60 (3):228-229.
A class of higher inductive types in Zermelo‐Fraenkel set theory.Andrew W. Swan - 2022 - Mathematical Logic Quarterly 68 (1):118-127.
On the transitive Hull of a κ-narrow relation.Karl-Heinz Diener & K. -H. Diener - 1992 - Mathematical Logic Quarterly 38 (1):387-398.
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